China | Can you solve this? | Nice Math Olympiad Algebra Problem

[@giannaleoci2328]

x+y=6 xy=6 x=6-y (6-y)y=6 6y-y^2-6=0 y^2-6y+6=0 y=[6+-rq(36-24)]/2 y=[6+-rq12]/2 y=(3+-rq3) x=6-(3+-rq3) x=3-+rq3

[@RewzR-cq4xw]

It's too ez, is it asked in Olympiad? It's level is so low, an average 9th grader can solve too

[@mathshunter]

Math olympiad is conducted for every grade of students. This problem was from junior math olympiad (for grade 8 students)

[@RewzR-cq4xw]

@@mathshunter that's ok then

[@RewzR-cq4xw]

​@@mathshunter Alot ez method: (x+y)²=x²+y²+2xy (6)²=x²+y²+12 36-12=x²+y² x²+y²=24 (x-y)²=x²+y²-2xy (x-y)²=24-12 (x-y)²=12 x-y=root(12) x-y=2√3 x+y=6 x-y=2√3 2x=6-2√3 2(x)=2(3-√3) x=3-√3 y=6-x y=6-(3-√3) y=3+√3

[@jennymarx9228]

Nice 👍🏻😅 so enjoyable but the video is like too slow , 🦥 just a suggestion but awesome your steps are😊